Briet, Philippe; Cuenin, Jean-Claude; Golinskii, Leonid B.; Kupin, Stanislas Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene. (English) Zbl 1484.35297 J. Spectr. Theory 11, No. 3, 1145-1178 (2021). MSC: 35P15 30C35 47A75 PDFBibTeX XMLCite \textit{P. Briet} et al., J. Spectr. Theory 11, No. 3, 1145--1178 (2021; Zbl 1484.35297) Full Text: DOI arXiv
Zhang, Cheng; Peng, Linyu; Zhang, Da-jun Discrete Crum’s theorems and lattice KdV-type equations. (English. Russian original) Zbl 1445.81020 Theor. Math. Phys. 202, No. 2, 165-182 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 187-206 (2020). MSC: 81Q05 39A12 39A05 37K35 35Q53 35Q55 35P05 35P30 PDFBibTeX XMLCite \textit{C. Zhang} et al., Theor. Math. Phys. 202, No. 2, 165--182 (2020; Zbl 1445.81020); translation from Teor. Mat. Fiz. 202, No. 2, 187--206 (2020) Full Text: DOI
Allahverdiev, Bilender P. Functional model and spectral analysis of discrete singular Hamiltonian system. (English) Zbl 1480.47052 Taiwanese J. Math. 23, No. 3, 653-673 (2019). MSC: 47B39 47B44 47A20 47A40 47A45 47B25 47A75 39A70 PDFBibTeX XMLCite \textit{B. P. Allahverdiev}, Taiwanese J. Math. 23, No. 3, 653--673 (2019; Zbl 1480.47052) Full Text: DOI Euclid
Biskup, Marek; Fukushima, Ryoki; König, Wolfgang Eigenvalue fluctuations for lattice Anderson Hamiltonians: unbounded potentials. (English) Zbl 1482.35147 Interdiscip. Inf. Sci. 24, No. 1, 59-76 (2018). MSC: 35P20 35J10 35R60 39A12 60H25 82B44 74Q15 47A75 47H40 PDFBibTeX XMLCite \textit{M. Biskup} et al., Interdiscip. Inf. Sci. 24, No. 1, 59--76 (2018; Zbl 1482.35147) Full Text: DOI arXiv
Iasnogorodski, R.; Malyshev, V.; Zamyatin, A. Restricted three particle quantum walk on \(\mathbf Z_{+}\): explicit solution. (English) Zbl 1400.81129 Markov Process. Relat. Fields 24, No. 2, 273-296 (2018). MSC: 81S22 39A12 47A75 34L40 81Q35 60G50 81Q10 PDFBibTeX XMLCite \textit{R. Iasnogorodski} et al., Markov Process. Relat. Fields 24, No. 2, 273--296 (2018; Zbl 1400.81129) Full Text: arXiv
Ryazanov, M. V.; Zamyatin, A. A. One-dimensional quantum walks with a general perturbation of the radius 1. (English) Zbl 1400.81115 Markov Process. Relat. Fields 24, No. 2, 255-272 (2018). MSC: 81Q35 81Q10 81S25 60G50 34L40 39A12 47A75 PDFBibTeX XMLCite \textit{M. V. Ryazanov} and \textit{A. A. Zamyatin}, Markov Process. Relat. Fields 24, No. 2, 255--272 (2018; Zbl 1400.81115) Full Text: arXiv
Malyshev, V.; Zamyatin, A. One particle subspaces for two particle quantum walks with ultralocal interaction. (English) Zbl 1400.81132 Markov Process. Relat. Fields 24, No. 2, 229-253 (2018). MSC: 81S25 39A12 47A75 34L40 81Q35 60G50 81Q10 PDFBibTeX XMLCite \textit{V. Malyshev} and \textit{A. Zamyatin}, Markov Process. Relat. Fields 24, No. 2, 229--253 (2018; Zbl 1400.81132) Full Text: arXiv
Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed by \(\delta\)-interactions. (English) Zbl 1314.81058 J. Phys. A, Math. Theor. 48, No. 18, Article ID 185301, 25 p. (2015). MSC: 81Q05 47A75 81T10 81Q10 46F10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Phys. A, Math. Theor. 48, No. 18, Article ID 185301, 25 p. (2015; Zbl 1314.81058) Full Text: DOI
Allahverdiev, B. P. Dilations, models, scattering and spectral problems of 1D discrete Hamiltonian systems. (English) Zbl 1341.47008 Bull. Iran. Math. Soc. 40, No. 6, 1553-1571 (2014). MSC: 47A20 47B39 47B44 47A40 47A45 47B25 47A75 39A70 PDFBibTeX XMLCite \textit{B. P. Allahverdiev}, Bull. Iran. Math. Soc. 40, No. 6, 1553--1571 (2014; Zbl 1341.47008) Full Text: Link
Allahverdiev, Bilender P. Extensions and spectral problems of 1D discrete Hamiltonian systems. (English) Zbl 1278.39028 Math. Methods Appl. Sci. 36, No. 18, 2554-2563 (2013). MSC: 39A70 39A12 47A20 47B44 39A10 47A40 47B39 47B25 47A25 47A75 39A06 47A45 47B37 PDFBibTeX XMLCite \textit{B. P. Allahverdiev}, Math. Methods Appl. Sci. 36, No. 18, 2554--2563 (2013; Zbl 1278.39028) Full Text: DOI
Tashpulatov, S. M. Spectrum of two-magnon non-Heisenberg ferromagnetic model of arbitrary spin with impurity. (English) Zbl 1292.82048 J. Math. Phys. Anal. Geom. 9, No. 2, 239-265 (2013). MSC: 82D40 46L60 47L90 70H06 70F05 81Q10 45B05 45C05 47B25 47G10 34L05 82B20 PDFBibTeX XMLCite \textit{S. M. Tashpulatov}, J. Math. Phys. Anal. Geom. 9, No. 2, 239--265 (2013; Zbl 1292.82048)
Golub, Gene H.; Van Loan, Charles F. Matrix computations. 4th ed. (English) Zbl 1268.65037 Johns Hopkins Studies in the Mathematical Sciences. Baltimore, MD: The Johns Hopkins University Press (ISBN 978-1-4214-0794-4/hbk; 978-1-4214-0859-0/ebook). xxi, 756 p. (2013). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65Fxx 65-01 65Y05 15A18 15A60 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{C. F. Van Loan}, Matrix computations. 4th ed. Baltimore, MD: The Johns Hopkins University Press (2013; Zbl 1268.65037)
Šimon Hilscher, Roman; Zeidan, Vera Rayleigh principle for time scale symplectic systems and applications. (English) Zbl 1340.34355 Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 83, 26 p. (2011). MSC: 34N05 34B05 37J10 PDFBibTeX XMLCite \textit{R. Šimon Hilscher} and \textit{V. Zeidan}, Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 83, 26 p. (2011; Zbl 1340.34355) Full Text: DOI
Lv, Haiyan; Shi, Yuming Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. (English) Zbl 1225.39013 J. Difference Equ. Appl. 17, No. 6, 987-1015 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A12 39A10 39A70 34B24 47B39 39A06 34L15 PDFBibTeX XMLCite \textit{H. Lv} and \textit{Y. Shi}, J. Difference Equ. Appl. 17, No. 6, 987--1015 (2011; Zbl 1225.39013) Full Text: DOI
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDFBibTeX XMLCite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Ergun, Ebru On the reality of the spectrum of a non-Hermitian discrete Hamiltonian. (English) Zbl 1178.39030 Rep. Math. Phys. 63, No. 1, 75-93 (2009). Reviewer: Yuming Chen (Waterloo) MSC: 39A70 39A12 47A75 47B39 PDFBibTeX XMLCite \textit{E. Ergun}, Rep. Math. Phys. 63, No. 1, 75--93 (2009; Zbl 1178.39030) Full Text: DOI
Chugunova, Marina; Pelinovsky, Dmitry On quadratic eigenvalue problems arising in stability of discrete vortices. (English) Zbl 1176.15010 Linear Algebra Appl. 431, No. 5-7, 962-973 (2009). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A22 37J25 47A75 39A12 PDFBibTeX XMLCite \textit{M. Chugunova} and \textit{D. Pelinovsky}, Linear Algebra Appl. 431, No. 5--7, 962--973 (2009; Zbl 1176.15010) Full Text: DOI
Fassbender, Heike Symplectic methods for the symplectic eigenproblem. (English) Zbl 0972.65026 New York, NY: Kluwer Academic/Plenum Publishers. xvi, 269 p. (2000). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65F15 65-01 93-01 65K10 74S05 74B05 93C55 76Q05 65P10 37M15 PDFBibTeX XMLCite \textit{H. Fassbender}, Symplectic methods for the symplectic eigenproblem. New York, NY: Kluwer Academic/Plenum Publishers (2000; Zbl 0972.65026)
Griesemer, Marcel; Siedentop, Heinz A minimax principle for the eigenvalues in spectral gaps. (English) Zbl 0952.47022 J. Lond. Math. Soc., II. Ser. 60, No. 2, 490-500 (1999). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 34L15 34L40 35P15 47A75 47F05 PDFBibTeX XMLCite \textit{M. Griesemer} and \textit{H. Siedentop}, J. Lond. Math. Soc., II. Ser. 60, No. 2, 490--500 (1999; Zbl 0952.47022) Full Text: DOI
Bohner, M. Discrete linear Hamiltonian eigenvalue problems. (English) Zbl 0933.39033 Comput. Math. Appl. 36, No. 10-12, 179-192 (1998). MSC: 39A12 93B05 34L15 34B24 PDFBibTeX XMLCite \textit{M. Bohner}, Comput. Math. Appl. 36, No. 10--12, 179--192 (1998; Zbl 0933.39033) Full Text: DOI
Lin, Wen-Wei; Wang, Chern-Shuh On computing stable Lagrangian subspaces of Hamiltonian matrices and symplectic pencils. (English) Zbl 0876.47005 SIAM J. Matrix Anal. Appl. 18, No. 3, 590-614 (1997). MSC: 47A15 47A56 15A22 15A24 15A18 15A21 49J27 PDFBibTeX XMLCite \textit{W.-W. Lin} and \textit{C.-S. Wang}, SIAM J. Matrix Anal. Appl. 18, No. 3, 590--614 (1997; Zbl 0876.47005) Full Text: DOI